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Finding the Third Proportional to 128,051 and 184,463

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Solution

The third proportional to 128,051 and 184,463 is: 265,726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,051 : 184,463 = 184,463 : x
  2. Step 2: Convert to fraction form
    128,051/184,463 = 184,463/x
  3. Step 3: Cross multiply
    128,051x = 184,463 × 184,463
  4. Step 4: Simplify right side
    128,051x = 34,026,598,369
  5. Step 5: Solve for x
    x = 34,026,598,369/128,051
  6. Step 6: Final answer
    x = 265,726.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.